Quotient Rings of Polynomial Rings.
Regularly weakly based modules over right perfect rings and Dedekind domains
A weak basis of a module is a generating set of the module minimal with respect to inclusion. A module is said to be regularly weakly based provided that each of its generating sets contains a weak basis. We study (1) rings over which all modules are regularly weakly based, refining results of Nashier and Nichols, and (2) regularly weakly based modules over Dedekind domains.
Relative multiplication and distributive modules
We study the construction of new multiplication modules relative to a torsion theory . As a consequence, -finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.
Remarks and corrections to the paper "Principal ideal theorems for holomorphy rings in fields".
Résolvandes et espaces homogènes principaux de schémas en groupe
Ring extensions with some finiteness conditions on the set of intermediate rings
A ring extension is said to be FO if it has only finitely many intermediate rings. is said to be FC if each chain of distinct intermediate rings in this extension is finite. We establish several necessary and sufficient conditions for the ring extension to be FO or FC together with several other finiteness conditions on the set of intermediate rings. As a corollary we show that each integrally closed ring extension with finite length chains of intermediate rings is necessarily a normal pair...
Ringepimorphismen und Morita-projektive Moduln über kommutativen Dedekind-Ringen.
Rings with a theory of gretest common divisors.
Semiprime factorizations in unions of Dedekind domains.
Separable adel algebras and a presentation of Weil groups.
Some cardinal invariants for valuation domains
Some remarks on Prüfer modules
We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.
Strong Right D-Domains.
Submodules of a torsion-free and finitely generated module over a Dedekind ring
Sufficient conditions for the Jacobson radical of a commutative ring to contain a prime ideal
Sulla Henselizzazione di anelli di valutazione e di anelli di Prüfer
Sull'algebra degli endomorfismi di una classe di moduli ridotti e senza torsione sui domini di Dedekind
Sums of powers in rings and the real holomorphy ring.
Sur certaines topologies linéaires
Sur certaines topologies linéaires